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Finding the Fourth Proportional to 13,165.74, 19,754.01 and 5,375.34

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Solution

The fourth proportional to 13,165.74, 19,754.01 and 5,375.34 is: 8,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.74 : 19,754.01 = 5,375.34 : x
  2. Step 2: Convert to fraction form
    13,165.74/19,754.01 = 5,375.34/x
  3. Step 3: Cross multiply
    13,165.74x = 19,754.01 × 5,375.34
  4. Step 4: Simplify right side
    13,165.74x = 106,184,520.11
  5. Step 5: Solve for x
    x = 106,184,520.11/13,165.74
  6. Step 6: Final answer
    x = 8,065.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.